Question

Please help ASAP What is the value of x? Enter your answer in the box.

Answer 1

Answer:

$x=27$

Step-by-step explanation:

We have been given a diagram of 2 triangles and we are asked to find the value of x.

We can see that triangle CDQ and RDB share a common angle and line CQ is parallel to line RB.

Since the corresponding angles formed by two parallel lines are equal, therefore,

$m\angle DQC=m\angle DBR$

$m\angle DCQ=m\angle DRB$

As all the angles is both triangles are equal, therefore, $\Delta CDQ\sim\Delta RDB$.

As both triangles are similar, so their corresponding sides will be proportional.

We can set a proportion for the sides of our given triangles as:

$\frac{x}{18}=\frac{39}{26}$

$\frac{x}{18}*18=\frac{39}{26}*18$

$x=\frac{3}{2}*18$

$x=3*9$

$x=27$

Therefore, the value of x is 27.

Answer 2

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!